9(3+4w)=6w-3(7-8w)

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Solution for 9(3+4w)=6w-3(7-8w) equation:


Simplifying
9(3 + 4w) = 6w + -3(7 + -8w)
(3 * 9 + 4w * 9) = 6w + -3(7 + -8w)
(27 + 36w) = 6w + -3(7 + -8w)
27 + 36w = 6w + (7 * -3 + -8w * -3)
27 + 36w = 6w + (-21 + 24w)

Reorder the terms:
27 + 36w = -21 + 6w + 24w

Combine like terms: 6w + 24w = 30w
27 + 36w = -21 + 30w

Solving
27 + 36w = -21 + 30w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-30w' to each side of the equation.
27 + 36w + -30w = -21 + 30w + -30w

Combine like terms: 36w + -30w = 6w
27 + 6w = -21 + 30w + -30w

Combine like terms: 30w + -30w = 0
27 + 6w = -21 + 0
27 + 6w = -21

Add '-27' to each side of the equation.
27 + -27 + 6w = -21 + -27

Combine like terms: 27 + -27 = 0
0 + 6w = -21 + -27
6w = -21 + -27

Combine like terms: -21 + -27 = -48
6w = -48

Divide each side by '6'.
w = -8

Simplifying
w = -8

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